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Sbornik: Mathematics, 2022, Volume 213, Issue 1, Pages 42–62
DOI: https://doi.org/10.1070/SM9511 (Mi sm9511) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the local and boundary behaviour of inverse maps on Riemannian manifolds

D. P. Ilyutkoa, E. A. Sevost'yanovbc

a Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
b Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine
c Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Slavyansk, Ukraine
English version PDF (672 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM9511
Abstract: Results on the local behaviour of maps between Riemannian manifolds such that their inverses satisfy upper bounds on the distortion of the moduli of families of curves are obtained. For families of such maps theorems on their equicontinuity at interior points and boundary points of the domain are established.
Bibliography: 30 titles.
Keywords: Riemannian manifold, modulus of a family of curves, map with bounded distortion, map with finite distortion, inverse map, local behaviour of maps.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00775-а
The research of D. P. Ilyutko was carried out with the support of the Russian Foundation for Basic Research (grant no. 19-01-00775-a).
Received: 07.10.2020 and 15.02.2021
Bibliographic databases:
Document Type: Article
UDC: 517.548.2+514.764.2
MSC: 30C65, 58C07
Language: English
Original paper language: Russian
Citation: D. P. Ilyutko, E. A. Sevost'yanov, “On the local and boundary behaviour of inverse maps on Riemannian manifolds”, Sb. Math., 213:1 (2022), 42–62
Citation in format AMSBIB
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\paper On the local and boundary behaviour of inverse maps on Riemannian manifolds
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\yr 2022
\vol 213
\issue 1
\pages 42--62
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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